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Volumn 71, Issue 2, 2005, Pages 210-219

Asymptotic analysis of stress singularities in composite laminates by the boundary finite element method

Author keywords

Boundary finite element method; Composites; Free corner effect; Free edge effect; Hybrid method; Laminates; Semi analytical method; Stress concentrations

Indexed keywords

ANISOTROPY; ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; MATRIX ALGEBRA; STRESS CONCENTRATION;

EID: 27744558697     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2004.10.003     Document Type: Article
Times cited : (19)

References (43)
  • 1
    • 0000052684 scopus 로고
    • Free edge effects in laminated composites
    • C.T. Herakovich Y.M. Tarnopol'skii (Eds) Elsevier Science Publishers B.V. Amsterdam, The Netherlands
    • C.T. Herakovich Free edge effects in laminated composites in: C.T. Herakovich Y.M. Tarnopol'skii (Eds) Handbook of composites, structure and design vol. 2 1989 Elsevier Science Publishers B.V. Amsterdam, The Netherlands 187-230
    • (1989) Handbook of Composites, Structure and Design , vol.2 , pp. 187-230
    • Herakovich, C.T.1
  • 2
    • 0033908521 scopus 로고    scopus 로고
    • Estimation of transverse/interlaminar stresses in laminated composites-a selective review and survey of current developments
    • T. Kant K. Swaminathan Estimation of transverse/interlaminar stresses in laminated composites-a selective review and survey of current developments Compos Struct 49 2000 65-75
    • (2000) Compos. Struct. , vol.49 , pp. 65-75
    • Kant, T.1    Swaminathan, K.2
  • 3
    • 3042693912 scopus 로고    scopus 로고
    • Interlaminar stress concentrations in layered structures-part I: A selective literature survey on the free-edge effect since 1967
    • C. Mittelstedt W. Becker Interlaminar stress concentrations in layered structures-part I: A selective literature survey on the free-edge effect since 1967 J Compos Mater 38 2004 1037-1062
    • (2004) J. Compos. Mater. , vol.38 , pp. 1037-1062
    • Mittelstedt, C.1    Becker, W.2
  • 4
    • 0344861750 scopus 로고
    • Stress singularities in a two-material wedge
    • V.L. Hein F. Erdogan Stress singularities in a two-material wedge Int J Fract Mech 7 1971 317-330
    • (1971) Int. J. Fract. Mech. , vol.7 , pp. 317-330
    • Hein, V.L.1    Erdogan, F.2
  • 5
    • 0015482754 scopus 로고
    • The plane solution for anisotropic elastic wedges under normal and shear loading
    • D.B. Bogy The plane solution for anisotropic elastic wedges under normal and shear loading J Appl Mech 39 1972 1103-1109
    • (1972) J. Appl. Mech. , vol.39 , pp. 1103-1109
    • Bogy, D.B.1
  • 6
    • 0016038026 scopus 로고
    • Plane solutions for the displacement and traction-displacement problems for anisotropic elastic wedges
    • M.C. Kuo D.B. Bogy Plane solutions for the displacement and traction-displacement problems for anisotropic elastic wedges J Appl Mech 41 1974 197-202
    • (1974) J. Appl. Mech. , vol.41 , pp. 197-202
    • Kuo, M.C.1    Bogy, D.B.2
  • 7
    • 0002230553 scopus 로고
    • Interlaminar stress singularities at a straight free edge in composite laminates
    • I.S. Raju J.H. Crews Interlaminar stress singularities at a straight free edge in composite laminates Comput Struct 14 1981 21-28
    • (1981) Comput. Struct. , vol.14 , pp. 21-28
    • Raju, I.S.1    Crews, J.H.2
  • 8
    • 0019588872 scopus 로고
    • On the singular behaviour at the vertex of a bi-material wedge
    • J.P. Dempsey G.B. Sinclair On the singular behaviour at the vertex of a bi-material wedge J Elasticity 11 1981 317-327
    • (1981) J. Elasticity , vol.11 , pp. 317-327
    • Dempsey, J.P.1    Sinclair, G.B.2
  • 9
    • 0020183079 scopus 로고
    • On the logarithmic singularity of free-edge stress in laminated composites under uniform extension
    • R.I. Zwiers T.C.T. Ting R.L. Spilker On the logarithmic singularity of free-edge stress in laminated composites under uniform extension J Appl Mech 49 1982 561-569
    • (1982) J. Appl. Mech. , vol.49 , pp. 561-569
    • Zwiers, R.I.1    Ting, T.C.T.2    Spilker, R.L.3
  • 10
    • 0020183155 scopus 로고
    • Boundary-layer effects in composite laminates-part 1: Free-edge stress singularities
    • S.S. Wang I. Choi Boundary-layer effects in composite laminates-part 1: free-edge stress singularities J Appl Mech 49 1982 541-548
    • (1982) J. Appl. Mech. , vol.49 , pp. 541-548
    • Wang, S.S.1    Choi, I.2
  • 11
    • 0020188936 scopus 로고
    • Boundary-layer effects in composite laminates-part 2: Free-edge stress solutions and basic characteristics
    • S.S. Wang I. Choi Boundary-layer effects in composite laminates-part 2: free-edge stress solutions and basic characteristics J Appl Mech 49 1982 549-560
    • (1982) J. Appl. Mech. , vol.49 , pp. 549-560
    • Wang, S.S.1    Choi, I.2
  • 12
    • 0021200091 scopus 로고
    • Stress singularities in bonded anisotropic materials
    • F. Delale Stress singularities in bonded anisotropic materials Int J Solids Struct 20 1984 31-40
    • (1984) Int. J. Solids Struct. , vol.20 , pp. 31-40
    • Delale, F.1
  • 13
    • 0024910548 scopus 로고
    • On the significance of the logarithmic term in the free edge stress singularity of composite laminates
    • H.K. Stolarski M.Y.M. Chiang On the significance of the logarithmic term in the free edge stress singularity of composite laminates Int J Solids Struct 25 1989 75-93
    • (1989) Int. J. Solids Struct. , vol.25 , pp. 75-93
    • Stolarski, H.K.1    Chiang, M.Y.M.2
  • 14
    • 0009666610 scopus 로고
    • Spannungssingularitäten in Zweistoffverbunden bei mechanischer und thermischer Belastung
    • Düsseldorf, Germany: VDI publishing house
    • Y.Y. Yang Spannungssingularitäten in Zweistoffverbunden bei mechanischer und thermischer Belastung 1992 VDI publishing house Düsseldorf, Germany
    • (1992)
    • Yang, Y.Y.1
  • 15
    • 0028393017 scopus 로고
    • Singular stress behaviour at an adhesive interface corner
    • S. Ding M. Kumosa Singular stress behaviour at an adhesive interface corner Eng Fract Mech 47 1994 503-519
    • (1994) Eng. Fract. Mech. , vol.47 , pp. 503-519
    • Ding, S.1    Kumosa, M.2
  • 16
    • 0028396360 scopus 로고
    • A numerical study of stress singularities in a two-material wedge
    • L. Gu T. Belytschko A numerical study of stress singularities in a two-material wedge Int J Solids Struct 31 1994 865-889
    • (1994) Int. J. Solids Struct. , vol.31 , pp. 865-889
    • Gu, L.1    Belytschko, T.2
  • 17
    • 0029273558 scopus 로고
    • Finite element analysis of anisotropic materials with singular inplane stress fields
    • S.S. Pageau P.F. Joseph S.B. Biggers Finite element analysis of anisotropic materials with singular inplane stress fields Int J Solids Struct 32 1995 571-591
    • (1995) Int. J. Solids Struct. , vol.32 , pp. 571-591
    • Pageau, S.S.1    Joseph, P.F.2    Biggers, S.B.3
  • 18
    • 0030053442 scopus 로고    scopus 로고
    • A finite element approach to three-dimensional singular stress states in anisotropic multi-material wedges and junctions
    • S.S. Pageau S.B. Biggers A finite element approach to three-dimensional singular stress states in anisotropic multi-material wedges and junctions Int J Solids Struct 33 1996 33-47
    • (1996) Int. J. Solids Struct. , vol.33 , pp. 33-47
    • Pageau, S.S.1    Biggers, S.B.2
  • 19
    • 0029270881 scopus 로고
    • Boundary layers in wedges of laminated composite strips under generalized plane deformation-part I: Asymptotic solutions
    • T.W. Kim S. Im Boundary layers in wedges of laminated composite strips under generalized plane deformation-part I: Asymptotic solutions Int J Solids Struct 32 1995 609-628
    • (1995) Int. J. Solids Struct. , vol.32 , pp. 609-628
    • Kim, T.W.1    Im, S.2
  • 20
    • 0029273632 scopus 로고
    • Boundary layers in wedges of laminated composite strips under generalized plane deformation-part II: Complete numerical solutions
    • T.W. Kim S. Im Boundary layers in wedges of laminated composite strips under generalized plane deformation-part II: Complete numerical solutions Int J Solids Struct 32 1995 629-645
    • (1995) Int. J. Solids Struct. , vol.32 , pp. 629-645
    • Kim, T.W.1    Im, S.2
  • 21
    • 0031549994 scopus 로고    scopus 로고
    • Free-edge stress singularity in a bimaterial laminate
    • R.A. Chaudhuri M. Xie Free-edge stress singularity in a bimaterial laminate Compos Struct 40 1998 129-136
    • (1998) Compos. Struct. , vol.40 , pp. 129-136
    • Chaudhuri, R.A.1    Xie, M.2
  • 22
    • 0031550056 scopus 로고    scopus 로고
    • Three-dimensional stress singularity at a bimaterial interface crack front
    • M. Xie R.A. Chaudhuri Three-dimensional stress singularity at a bimaterial interface crack front Compos Struct 40 1998 137-147
    • (1998) Compos. Struct. , vol.40 , pp. 137-147
    • Xie, M.1    Chaudhuri, R.A.2
  • 23
    • 0035546018 scopus 로고    scopus 로고
    • Three-dimensional asymptotic stress field at the front of a bimaterial wedge of symmetric geometry under antiplane shear loading
    • M. Xie R.A. Chaudhuri Three-dimensional asymptotic stress field at the front of a bimaterial wedge of symmetric geometry under antiplane shear loading Compos Struct 54 2001 509-514
    • (2001) Compos. Struct. , vol.54 , pp. 509-514
    • Xie, M.1    Chaudhuri, R.A.2
  • 24
    • 0036791217 scopus 로고    scopus 로고
    • Three-dimensional asymptotic stress field at the front of an unsymmetric bimaterial pie-shaped wedge under antiplane shear loading
    • J.S.H. Chiu R.A. Chaudhuri Three-dimensional asymptotic stress field at the front of an unsymmetric bimaterial pie-shaped wedge under antiplane shear loading Compos Struct 58 2002 129-137
    • (2002) Compos. Struct. , vol.58 , pp. 129-137
    • Chiu, J.S.H.1    Chaudhuri, R.A.2
  • 25
    • 0035479228 scopus 로고    scopus 로고
    • On stress singularities in an anisotropic wedge for various boundary conditions
    • C.H. Chue C.H. Tseng C.I. Liu On stress singularities in an anisotropic wedge for various boundary conditions Compos Struct 54 2001 87-102
    • (2001) Compos. Struct. , vol.54 , pp. 87-102
    • Chue, C.H.1    Tseng, C.H.2    Liu, C.I.3
  • 26
    • 0036137821 scopus 로고    scopus 로고
    • A general solution on stress singularities in the junction of two anisotropic materials
    • C.H. Chue T.H. Chen H.T. Lee A general solution on stress singularities in the junction of two anisotropic materials Compos Struct 55 2002 81-93
    • (2002) Compos. Struct. , vol.55 , pp. 81-93
    • Chue, C.H.1    Chen, T.H.2    Lee, H.T.3
  • 27
    • 0036534132 scopus 로고    scopus 로고
    • Disappearance of free-edge stress singularity in composite laminates
    • C.H. Chue C.I. Liu Disappearance of free-edge stress singularity in composite laminates Compos Struct 56 2002 111-129
    • (2002) Compos. Struct. , vol.56 , pp. 111-129
    • Chue, C.H.1    Liu, C.I.2
  • 28
    • 0036792275 scopus 로고    scopus 로고
    • Stress singularities in a bimaterial anisotropic wedge with arbitrary fiber orientation
    • C.H. Chue C.I. Liu Stress singularities in a bimaterial anisotropic wedge with arbitrary fiber orientation Compos. Struct. 58 2002 49-56
    • (2002) Compos. Struct. , vol.58 , pp. 49-56
    • Chue, C.H.1    Liu, C.I.2
  • 29
    • 0036895163 scopus 로고    scopus 로고
    • Stress singularities in anisotropic three-material wedges and junctions with applications
    • C.H. Chue S.M. Weng Stress singularities in anisotropic three-material wedges and junctions with applications Compos Struct 58 2002 443-456
    • (2002) Compos. Struct. , vol.58 , pp. 443-456
    • Chue, C.H.1    Weng, S.M.2
  • 30
    • 26344435789 scopus 로고    scopus 로고
    • A closed-form analysis of material and geometry effects on stress singularities at unsymmetric bimaterial notches
    • Augsburg, Germany
    • Müller A, Hohe J, Becker W. A closed-form analysis of material and geometry effects on stress singularities at unsymmetric bimaterial notches. In: Proceedings GAMM Annual Meeting, Augsburg, Germany, 2002. p. 210-1.
    • (2002) Proceedings GAMM Annual Meeting , pp. 210-211
    • Müller, A.1    Hohe, J.2    Becker, W.3
  • 31
    • 11044228858 scopus 로고    scopus 로고
    • Solutions of dissimilar material singularity and contact problems
    • Karlsruhe, Germany: Forschungszentrum Karlsruhe, Scientific Report FZKA 6888
    • Yang YY. Solutions of dissimilar material singularity and contact problems. Karlsruhe, Germany: Forschungszentrum Karlsruhe, Scientific Report FZKA 6888, 2003.
    • (2003)
    • Yang, Y.Y.1
  • 33
    • 0034325403 scopus 로고    scopus 로고
    • The scaled boundary finite-element method-a primer: Derivations
    • J.P. Wolf C. Song The scaled boundary finite-element method-a primer: derivations Comput Struct 78 2000 191-210
    • (2000) Comput. Struct. , vol.78 , pp. 191-210
    • Wolf, J.P.1    Song, C.2
  • 34
    • 0034325470 scopus 로고    scopus 로고
    • The scaled boundary finite-element method-a primer: Solution procedures
    • C. Song J.P. Wolf The scaled boundary finite-element method-a primer: solution procedures Comput Struct 78 2000 211-225
    • (2000) Comput. Struct. , vol.78 , pp. 211-225
    • Song, C.1    Wolf, J.P.2
  • 36
    • 0345240926 scopus 로고    scopus 로고
    • Interlaminar stresses at the free corners of a laminate
    • W. Becker P.P. Jin P. Neuser Interlaminar stresses at the free corners of a laminate Compos Struct 45 1999 155-162
    • (1999) Compos. Struct. , vol.45 , pp. 155-162
    • Becker, W.1    Jin, P.P.2    Neuser, P.3
  • 37
    • 0344877291 scopus 로고    scopus 로고
    • Free-corner effects in cross-ply laminates: An approximate higher-order theory solution
    • C. Mittelstedt W. Becker Free-corner effects in cross-ply laminates: An approximate higher-order theory solution J Compos Mater 37 2003 2043-2068
    • (2003) J. Compos. Mater. , vol.37 , pp. 2043-2068
    • Mittelstedt, C.1    Becker, W.2
  • 38
    • 3042636434 scopus 로고    scopus 로고
    • Interlaminar stress concentrations in layered structures-part II: Closed-form analysis of stresses at laminated rectangular wedges with arbitrary non-orthotropic layup
    • C. Mittelstedt W. Becker Interlaminar stress concentrations in layered structures-part II: Closed-form analysis of stresses at laminated rectangular wedges with arbitrary non-orthotropic layup J Compos Mater 38 2004 1063-1090
    • (2004) J. Compos. Mater. , vol.38 , pp. 1063-1090
    • Mittelstedt, C.1    Becker, W.2
  • 39
    • 0031075981 scopus 로고    scopus 로고
    • Stress singularity analysis in three-dimensional bonded structure
    • H. Koguchi Stress singularity analysis in three-dimensional bonded structure Int J Solids Struct 34 1997 461-480
    • (1997) Int. J. Solids Struct. , vol.34 , pp. 461-480
    • Koguchi, H.1
  • 40
    • 0034818167 scopus 로고    scopus 로고
    • Fracture initiation at three-dimensional bimaterial interface corners
    • P.E.W. Labossiere M.L. Dunn Fracture initiation at three-dimensional bimaterial interface corners J Mech Phys Solids 49 2001 609-634
    • (2001) J. Mech. Phys. Solids , vol.49 , pp. 609-634
    • Labossiere, P.E.W.1    Dunn, M.L.2
  • 41
    • 0036599794 scopus 로고    scopus 로고
    • Singularities near three-dimensional corners in composite laminates
    • A. Dimitrov H. Andrae E. Schnack Singularities near three-dimensional corners in composite laminates Int J Fract 115 2002 361-375
    • (2002) Int. J. Fract. , vol.115 , pp. 361-375
    • Dimitrov, A.1    Andrae, H.2    Schnack, E.3
  • 42
    • 19044365014 scopus 로고    scopus 로고
    • Semi-analytical computation of 3D stress singularities in linear elasticity
    • in press
    • Mittelstedt C, Becker W. Semi-analytical computation of 3D stress singularities in linear elasticity. Commun Numer Meth Eng, in press.
    • Commun. Numer. Meth. Eng.
    • Mittelstedt, C.1    Becker, W.2
  • 43
    • 27744448695 scopus 로고    scopus 로고
    • The boundary finite element method for the efficient computation of order and mode of three-dimensional stress singularities in linear elasticity
    • submitted for publication
    • Mittelstedt C, Becker W. The boundary finite element method for the efficient computation of order and mode of three-dimensional stress singularities in linear elasticity, submitted for publication.
    • Mittelstedt, C.1    Becker, W.2


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